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VOLUME XXVI
INDEX OF PAPERS BY AUTHORS
Author Title Page
Amos, D. E. & Bulgren, W. G. Computation of a Multivariate F Distribution. 255
Babuska, Ivo The Finite Element Method for Infinite Domains. 1. 1
Bass, Ronald A Rank Two Algorithm for Unconstrained Minimization 129
Bauer, Louis & Reiss, Block Five Diagonal Matrices and the Fast Numerical
Edward L. Solution of the Biharmonic Equation. 311
Belford, Geneva G. Uniform Approximation of Vector-Valued Functions with
a Constraint. 487
Bellman, Richard, Kashef, A Useful Approximation to e~''. 233
B. G. & Vasudevan, R.
Borho, Walter On Thabit ibn Kurrah's Formula for Amicable Numbers. 571
Borning, Alan Some Results for k\± \ and 2-3-5 ••■ p ± 1. 567
Bramble, James H., Dupont, Projection Methods for Dirichlet's Problem in Approximat-
Todd & Thomee, Vidar ing Polygonal Domains with Boundary-Value Cor-
rections. 869
Bramble, James H. & Thomee, Semidiscrete-Least Squares Methods for a Parabolic
Vidar Boundary Value Problem. 633
Brillhart, John Note on Representing a Prime as a Sum of Two Squares_ 1011
Brunner, H. A Note on Modified Optimal Linear Multistep Methods . 625
Bulgren, W. G. See: Amos, D. E. & Bulgren, W. G. 255
Butcher, J. C. An Algebraic Theory of Integration Methods. 79
Butcher, J. C. A Convergence Criterion for a Class of Integration
Methods. 107
Cantor, David G., Galyean, A Continued Fraction Algorithm for Real Algebraic
Paul H. & Zimmer, Horst G. Numbers. 785
Carlson, B. C. An Algorithm for Computing Logarithms and Arc-
tangents. 543
Cheema, M. S. & Conway, W. E. Numerical Investigation of Certain Asymptotic Results in
the Theory of Partitions. 999
Chipman, D. M. The Numerical Computation of Two Transcendental Func-
tions Related to the Exponential Integral. 241
Cline, A. K. Rate of Convergence of Lawson's Algorithm. 167
Conway, W. E. See: Cheema, M. S. & Conway, W. E. 999
Cox, M. G. A Note on Chambers' Method for Finding a Zero of a
Function. 749
Crews, Phillip L. See: Wall, Charles R., Crews, Phillip L. & Johnson,
Donald B. 773
Curtis, A. R. & Rabinowitz, P. On the Gaussian Integration of Chebyshev Polynomials. . 207
Cusick, T. W. Diophantine Approximation of Ternary Linear Forms. II 977
Davis, P. J. & Rabinowitz, P. On the Nonexistence of Simplex Integration Rules for
Infinite Integrals. 687
Derr, Leroy J. Inversion of Isoclinal Matrices. 719
Dupont, Todd See: Bramble, JamesH., Dupont, Todd & Thomee, Vidar 869
Ehrlich, L. W. Coupled Harmonic Equations, SOR, and Chebyshev
Acceleration. 335
Eilon, B. A Note Concerning the Two-Step Lax-Wendroff Method
in Three Dimensions. 41
Elliott, David See: Tu an, P. D. & Elliott, David. 213
1033
1034 INDEX OF PAPERS BY AUTHORS
Author Title Page
Farahat, H. K. See: Lancaster, P. & Farahat, H. K. 401
Fettis, Henry E. An Explicit Addition Formula for the Inverse Jacobian
Elliptic Functions. 965
Fields, Jerry L. The Asymptotic Expansion of the Meijer G-Function.... 757
Forsythe, George E. Von Neumann's Comparison Method for Random
Sampling from the Normal and Other Distributions 817
Galyean, Paul H. See: Cantor, David G., Galyean, Paul H. & Zimmer,
Horst G. 785Gautschi, Walter The Condition of Orthogonal Polynomials. 923
Gentleman, W. Morven Optimal Multiplication Chains for Computing a Power
of a Symbolic Polynomial. 935
Gillard, P. See: Lal, M. & Gillard, P. 579
Goldfarb, D. Modification Methods for Inverting Matrices and Solving
Systems of Linear Algebraic Equations. 829
Greenstadt, John A Quasf-Newton Method with No Derivatives. 145
Gregory, J. A. See: Strecok, A. J. & Gregory, J. A. 955
Guderley, Karl G. & A Predictor-Corrector Method for a Certain Class of Stiff
Hsu, Chen-Chi Differential Equations. 51
Gustafsson, Bertil, Kreiss, Stability Theory of Difference Approximations for Mixed
Heinz-Otto & Sundström, Initial Boundary Value Problems. II. 649
ArneHabetler, G. J. See: Rainey, J. W. & Habetler, G. J. 121
Hayes, John K., Kahaner, An Improved Method for Numerical Conformal Mapping. 327
David K. & Kellner,
Richard G.
Hetherington, J. H. An Error Bound for Quadratures. 695
Hoskins, W. D. & Ponzo, P. J. Some Properties of a Class of Band Matrices. 393
Householder, Alston S. On a Condition for the Nonsingularity of a Matrix. 119
Hsu, Chen-Chi See: Guderley, Karl G. & Hsu, Chen-Chi. 51
Hulme, Bernie L. One-Step Piecewise Polynomial Galerkin Methods for
Initial Value Problems. 415
Hulme, Bernie L. Discrete Galerkin and Related One-Step Methods for
Ordinary Differential Equations. 881
Hunter, D. B. & Regan, T. A Note on the Evaluation of the Complementary Error
Function. 539
Jain, R. K. Some /1-Stable Methods for Stiff Ordinary Differential
Equations. 71
Johnson, Donald B. See: Wall, Charles R., Crews, Phillip L. & Johnson,
Donald B. 773
Johnston, R. L. & Pal, S. K. The Numerical Solution of Hyperbolic Systems Using
Bicharacteristics. 377
Kahaner, David K. See: Hayes, John K., Kahaner, David K. & Kellner,
Richard G. 327
Kahaner, David K. Minimum Norm Differentiation Formulas with Improved
Roundoff Error Bounds. 477
Kahaner, David K. Numerical Quadrature by the e-Algorithm. 689
Kahng, S. W. Best Lp Approximation. 505
Kashef, B. G. See: Bellman, Richard, Kashef, B. G. & Vasudevan, R. 233
Kellner, Richard G. See: Hayes, John K., Kahaner, David K. & Kellner,
Richard G. 327
Kershaw, D. The Orders of Approximation of the First Derivative of
Cubic Splines at the Knots. 191
Kim, Shoon K. The Asymptotic Expansion of a Hypergeometric Function
2F2(1, a; pi, p2; z). 963
Kincaid, David R. Norms of the Successive Overrelaxation Method. 345
INDEX OF PAPERS BY AUTHORS 1035
Author Title Page
Kincaid, David R. & The Modified Successive Overrelaxation Method with
Young, David M. Fixed Parameters. 705
Klopfenstein, R. W. See: Pelios, A. & Klopfenstein, R. W. 467
Kölbig, K. S. Complex Zeros of Two Incomplete Riemann Zeta Func-
tions. 551
Kölbig, K. S. On the Zeros of the Incomplete Gamma Function. 751
Korsan, Robert J. See: Seidman, Thomas I. & Korsan, Robert J. 897
Kreiss, Heinz-Otto Difference Approximations for Boundary and Eigenvalue
Problems for Ordinary Differential Equations. 605
Kreiss, Heinz-Otto See: Gustafsson, Bertil, Kreiss, Heinz-Otto & Sund-
ström, Arne. 649
Kress, R. On the General Hermite Cardinal Interpolation. 925
Lal, Mohan See: Shanks, Daniel & Lal, Mohan. 265
Lal, M. & Gillard, P. On the Equation <j>(n) = <t>(n + k). 579
Lancaster, P. & Farahat, H. K. Norms on Direct Sums and Tensor Products. 401
Lewis, James T. Computation of Best Monotone Approximations. 737
Lin, Jung See: Ling, Chih-Bing & Lin, Jung. 529
Ling, Chih-Bing & Lin, Jung On Evaluation of Moments of K,(t)/hU). 529
Linz, Peter A Method for Computing Bessel Function Integrals. 509
Lipow, Peter R. & How Slowly Can Quadrature Formulas Converge?. 917
Stenger, Frank
Luke, Yudell L. Miniaturized Tables of Bessel Functions. Ill. 237
MacKinnon, Robert F. The Asymptotic Expansions of Hankel Transforms and
Related Integrals. 515
Madsen, N. K. Convergence of Singular Difference Approximations for
the Discrete Ordinate Equations in x-y Geometry. 45
McKinney, Earl H. Generalized Recursive Multivariate Interpolation. 723
Merz, Gerhard Remark on a Paper by Huddleston. 901
Mossige, Svein Table of Irreducible Polynomials over GF[2] of Degrees 10
through 20 . 1007
Niederreiter, Harald On the Distribution of Pseudo-Random Numbers Gener-
ated by the Linear Congruential Method. 793
Olver, F. W. J. & Sookne, D. J. Note on Backward Recurrence Algorithms. 941
Osher, Stanley Stability of Parabolic Difference Approximations to
Certain Mixed Initial Boundary Value Problems. 13
Osler, Thomas J. An Integral Analogue of Taylor's Series and its Use in
Computing Fourier Transforms. 449
Osler, Thomas J. The Integral Analog of the Leibniz Rule. 903
Pal, S. K. See: Johnston, R. L. & Pal, S. K. 377
Parnes, R. Complex Zeros of the Modified Bessel Functions K„(Z)... 949
Paul, A. K. Anharmonic Frequency Analysis. 437
Pelios, A. & Minimal Error Constant Numerical Differentiation
Klopfenstein, R. W. (N. D.) Formulas. 467
Plemmons, Robert J. Monotonicity and Iterative Approximations Involving
Rectangular Matrices. 853
Ponzo, P. J. See: Hoskins, W. D. & Ponzo, P. J. 393
Rabinowitz, P. See: Curtis, A. R. & Rabinowitz, P. 207
Rabinowitz, P. See: Davis, P. J. & Rabinowitz, P. 687
Rainey, J. W. & Habetler. G. J. Tridiagonalization of Completely Nonnegative Matrices... 121
Regan, T. See: Hunter, D. B. & Regan, T. 539
Reiss, Edward L. See: Bauer, Louis & Reiss, Edward L. 311
Rowland, J. H. & Varol, Y. L. Exit Criteria for Simpson's Compound Rule. 699
Seidman, Thomas I. & Korsan, Endpoint Formulas for Interpolatory Cubic Splines. 897
Robert J.
1036 INDEX OF PAPERS BY AUTHORS
Author Title Page
Shanks, Daniel & Lal, Mohan Bateman's Constants Reconsidered and the Distribution
of Cubic Residues. 265
Simpson, R. B. Existence and Error Estimates for Solutions of a Discrete
Analog of Nonlinear Eigenvalue Problems. 359
Singhal, J. P. See: Srivastava, H. M. & Singhal, J. P. 969
Sincovec, Richard F. On the Solution of the Equations Arising from Collocation
with Cubic ß-Splines. 893
Sookne, D. J. See: Olver, F. W. J. & Sookne, D. J. 941
Srivastava, H. M. & A Unified Presentation of Certain Classical Polynomials.. 969
Singhal, J. P.
Stenger, Frank See: Lipow, Peter R. & Stenger, Frank. 917
Strecok, A. J. & High Precision Evaluation of the Irregular Coulomb Wave
Gregory, J. A. Functions. 955
Ström, Torsten Monotonicity in Romberg Quadrature. 461
Sundström, Arne See: Gustafsson, Bertil, Kreiss, Heinz-Otto & Sund-
ström, Arne. 649
Thomee, Vidar See: Bramble, James H. & Thomee, Vidar. 633
Thomee, Vidar See: Bramble, James H., Dupont, Todd & Thomee,
Vidar. 869
Tuan, P. D. & Elliott, David Coefficients in Series Expansions for Certain Classes of
of Functions. 213
Varah, J. M. On the Solution of Block-Tridiagonal Systems Arising
from Certain Finite-Difference Equations. 859
Varol, Y. L. See: Rowland, J. H. & Varol, Y. L. 699
Vasudevan, R. See: Bellman, Richard, Kashef, B. G. & Vasudevan, R. 233
Wagstaff, Samuel S., Jr. On A:-Free Sequences of Integers. 767
Wall, Charles R. Density Bounds for Euler's Function. 779
Wall, Charles R., Crews, Density Bounds for the Sum of Divisors Function. 773
Phillip L. & Johnson,
Donald B.
Weinstein, S. E. Uniform Approximation Through Partitioning. 493
Weiss, Richard Product Integration for the Generalized Abel Equation.... 177
Williams, H. C. & Zarnke, C. R. Some Prime Numbers of the Forms 2^43"+l and 2A3" - 1. 995
Williams, Jack Numerical Chebyshev Approximation by Interpolating
Rationals. 199Wimp, Jet Some Transformations of Monotone Sequences. 251
Young, David M. See: Kincaid, David R. & Young, David M. 705
Zarnke, CR. See: Williams, H. C. & Zarnke, C. R. 995
Zimmer, Horst G. See: Cantor, David G., Galyean, Paul H. & Zimmer,
Horst G. 785
SUBJECT CLASSIFICATION SYSTEMFOR INDEX OF REVIEWS
The following subject classification system is used for the yearly index of reviews. Individual reviews
in the quarterly issues are assigned index classification numbers in simplified form (see MOC, vol.
22, no. 101).
1.00 Biography and Bibliography (History)
2.00 Selected Topics in Numerical Analysis
2.05 Approximation Theory
2.05.1 Least Squares, Curve Fitting, Harmonic Analysis
2.05.2 Chebyshev (Best) Approximation
2.05.3 Interpolation, Extrapolation
2.05.4 Inverse Interpolation
2.05.5 Rational Approximation
2.10 Numerical Integration
2.10.1 One-Dimensional
2.10.2 Multi-Dimensional
2.10.3 Monte Carlo
2.15 Numerical Differentiation
2.20 Roots of Equations
2.25 Evaluation of Series
2.30 Continued Fractions
2.35 Iteration Methods, Acceleration Techniques
2.40 Differences, Divided Differences2.45 Algorithms, General Theory
2.50 Inequalities
2.55 Stability of Computation, Significance Arithmetic
3.00 Linear Algebra
3.05 Matrices
3.10 Linear Equations
3.10.1 Error Analysis
3.15 Eigenvalues and Eigenvectors
3.15.1 Error Analysis
3.20 Matrix Inversion and Pseudo-Inverses
3.20.1 Error Analysis
3.25 Linear and Nonlinear Programming, Theory of Games
3.25.1 Error Analysis
3.30 Determinants
4.00 Ordinary Differential Equations
4.05 Initial Value Problems
4.05.1 Analytic Methods
4.05.1.1 Error Analysis
4.05.2 One-Step Methods
4.05.2.1 Error Analysis
4.05.3 Multistep Methods
4.05.3.1 Error Analysis
1037
1038 SUBJECT CLASSIFICATION SYSTEM FOR INDEX OF REVIEWS
Linear Boundary Value and Eigenvalue Problems
4.10.1 Analytic Methods
4.10.1.1 Error Analysis
4.10.2 Initital Value (Trial and Error or Shooting) Methods
4.10.2.1 Error Analysis
4.10.3 Finite Difference (Nonshooting) Methods
4.10.3.1 Error Analysis
Nonlinear Boundary Value and Eigenvalue Problems
4.15.1 Analytic Methods
4.15.1.1 Error Analysis
4.15.2 Initial Value (Trial and Error or Shooting) Methods
4.15.2.1 Error Analysis
4.15.3 Finite Difference (Nonshooting) Methods
4.15.3.1 Error Analysis
5.00 Partial Differential Equations
5.05 Initial Value Problems
5.05.1 Analytic Methods
5.05.1.1 Error Analysis
5.05.2 Explicit Difference Methods
5.05.2.1 Error Analysis
5.05.3 Implicit Difference Methods, Iterative Schemes
5.05.3.1 Error Analysis
5.05.4 Other Approximation Methods
5.05.4.1 Error Analysis
5.10 Boundary Value Problems
5.10.1 Analytic Methods
5.10.1.1 Error Analysis
5.10.2 Finite Difference Methods, Iterative Schemes
5.10.2.1 Error Analysis
5.10.3 Other Approximation Methods
5.10.3.1 Error Analysis
5.15 Eigenvalue Problems
5.15.1 Analytic Methods
5.15.1.1 Error Analysis
5.15.2 Finite Difference Methods, Iterative Schemes
5.15.2.1 Error Analysis
5.15.3 Other Approximation Methods
5.15.3.1 Error Analysis
5.20 Mixed Initial and Boundary Value Problems
5.20.1 Analytic Methods
5.20.1.1 Error Analysis
5.20.2 Explicit Difference Methods
5.20.2.1 Error Analysis
5.20.3 Implicit Difference Methods, Iterative Schemes
5.20.3.1 Error Analysis
5.20.4 Other Approximation Methods
5.20.4.1 Error Analysis
6.00 Other Functional Equations
6.05 Difference Equations
6.10 Difference-Differential Equations
6.15 Integral Equations
6.20 Integro-Differential Equations
6.25 Convolution Equations
6.30 Variational Equations
6.35 Abstract Operator Equations
4.10
4.15
SUBJECT CLASSIFICATION SYSTEM FOR INDEX OF REVIEWS 1039
7.00 Special Functions
7.05 Mathematical Constants, Special Polynomials (nonorthogonal) and Numbers:
Bernoulli, Euler, Stirling, Binomial Coefficients; Factorials
7.10 Elementary Functions, Powers and Roots
7.15 Gamma Functions, Psi Functions, Zeta Functions and Related Functions
7.20 Incomplete Gamma Functions
7.20.1 Exponential Integral, Cosine and Sine Integrals and Related Functions
7.20.2 Error Functions, Fresnel Integrals and Related Functions
7.25 Confluent Hypergeometric Functions
7.25.1 Parabolic Cylinder Functions
7.25.2 Coulomb Wave Functions
7.30 Bessel Functions
7.35 Lommel Functions, Struve Functions, Anger-Weber Functions and Associated
Bessel Functions
7.40 Legendre Functions
7.45 Gaussian Hypergeometric Functions
7.50 Orthogonal Polynomials and Functions
7.55 Expansions in Series of Orthogonal Polynomials, Bessel Functions, Other
Functions
7.60 Elliptical Integrals and Functions, Weierstrass Elliptic Integrals, Related Functions
7.65 Mathieu Functions
7.70 Spheroidal Wave Functions, Other Wave Functions
7.75 Generalized Hypergeometric Functions of a Single Variable
7.80 Generalized Hypergeometric Functions of More Than One Variable
7.85 Basic Hypergeometric Functions
7.90 Integral Transforms
7.95 Numerical Tables of Integrals and Transforms
7.100 Numerical Tables of Infinite Series
7.105 Handbooks of Mathematical Tables and Formulae
8.00 Probability and Statistics
8.05 Random Numbers
8.05.1 Tables
8.10 Monte Carlo, Markov Chains
8.15 Multivariate Analysis
8.20 Regression Analysis
8.25 Analysis of Variance
8.30 Time Series Analysis
8.35 Nonparametric Analysis
8.40 Sequential Analysis
8.45 Classical Statistics
8.50 Handbooks of Tables and Formulae
9.00 Number Theory
9.05 Mersenne, Fermat, Perfect and Related Numbers
9.10 Number Theoretic Functions and Tables
9.15 Binomial Congruences, Primitive Roots, Residues, etc.
9.20 Primes and their Distribution
9.25 Factorization
9.30 Forms and Diophantine Equations
9.35 Continued Fractions and Diophantine Approximation
9.40 Normal Numbers and Distribution of Digits
9.45 Modular Computation
10.00 Algebra and Combinatorial Theory
10.05 Groups, Rings, Fields, Algebras
10.10 Finite Fields
1040 SUBJECT CLASSIFICATION SYSTEM FOR INDEX OF REVIEWS
10.15 Irreducible Polynomials
10.20 Arrays, Latin Squares
10.25 Projective Planes, Block Designs, Difference Sets
10.30 Permutations, Combinatorial Identities
10.35 Graph Theory
11.00 Geometry
11.05 Coordinate Conversion Tables
11.10 Polyhedra and Polytopes
11.15 Graph Theory
12.00 Computers and Other Aids to Computation
12.05 Digital Computers
12.05.1 Coding, Programming and Software
12.05.2 Design and Hardware
12.10 Analog Computers
12.10.1 Design and Hardware
12.15 Digital-Analog {Hybrid) Computers
12.15.1 Coding, Programming and Software
12.15.2 Design and Hardware
12.20 Mechanical Aids to Computation—Slide Rules, Desk Calculators, Others
12.25 Nomographs
13.00 Applications
13.05 Physical and Chemical Sciences
13.05.1 Weights and Measures Tables
13.10 Astronomy, Astrophysics
13.10.1 Navigation Tables
13.15 Engineering Sciences
13.15.1 Engineering Tables
13.20 Earth Sciences, Atmospheric Sciences
13.20.1 Triangulation and Geodetic Tables
13.25 Biology and the Behavioral Sciences
13.30 Economics and the Social Sciences
13.35 Information Theory, Automata, Logic Control Theory, Dynamic Programming,
Cybernetics
13.40 Management Problems, Data Analysis and Processing
13.45 Actuarial Science
13.45.1 Actuarial and Financial Tables
13.50 Humanities, Linguistics
14.00 Miscellaneous
14.05 Mathematical Research, Mathematical Education
INDEX OF REVIEWS BY AUTHOR OF WORK REVIEWED
Review
Author Number Classification
Acton, Forman S. 1
Anselone, Philip M. 33
Bark, L. S., Dmetrieva, N. I., 9
Zakhar'ev, L. N. & LemanskiI, A. A.
Birkhoff, Garrett 32
Blum, Ronald, Editor 40
Boland, W. Robert 42
Branders, Maria 51
Butzer, P. L. & Szökefalvi-Nagy, B., 4
Editors
Byrd, P. F. & Friedman, M. D. 34
Byrd, Paul F. & Galant, David C. 43
Caslin, James C. 24
Collatz, L. & Unger, H., 3
EditorsCollatz, L., Meinardus, G., 17
Unger, H. & Werner, H.,
Editors
Daniel, James W. 46
Dawson, Clive B. & Wool, Thomas C. 16
Day, D. D. F. 59Dejon, B. & Henrici, P., Editors 19
De Jong, Jan L. 47
Dmitrieva, N. I. 9
Dubuc, R., Lambert-Carez, G., 57
Gratton, M., Roy, L. & Shapiro, A.
FjIdel'man, S. D. 7
Falb, Peter L. & De Jong, Jan L. 47
Fenyö, Stefan 31
Fettis, Henry E. & Caslin, James C 24
Friedman, M. D. 34
Fry, T. F. 58Galant, David C. 43
Galler, B. A. & Perlis, A. J. 39
Ghizzetti, A. & Ossicini, A. 28Glonti, E. N. 45
Gould, H. W. 14Gratton, M. 57
Grossman, Fred 13
Henrici, P. 19
Hill, G. W. 53
Householder, A. S. 6
Hull, T. E. & Day, D. D. F. 59
Page
2.00, 2.10, 2.20, 2.35, 3.15, 4.00 2876.15, 6.35 8037.00, 7.65 296
5.10, 5.10.1, 5.10.2, 5.10.3 80212.05.3 8102.10 1015See: Piessens, Robert &
Branders, Maria 1022
2.05, 3.00, 4.00, 5.00, 6.00 290
7.60 8042.10 1015See: Fettis, Henry E. & Caslin, James C. 5942.05, 2.35, 2.55, 5.00, 6.00 290
2.05.2, 2.05.3, 2.20, 2.35, 3.15, 3.20.1, 4.00,5.00, 6.30, 6.35 585
2.35, 6.00, 13.35 101712.05.1 303See: Hull, T. E. & Day, D. D. F. 10272.20 588See: Falb, Peter L. & De Jong, Jan L. 1019
See: Bark, L. S., Dmitrieva, N. I.,
Zakhar'ev, L. N. & LemanskiI, A. A. 29612.00 1025
5.00 2942.35, 13.35 10193.00 8017.00 594See: Byrd, P. F. & Friedman, M. D. 804
12.00 1026See: Byrd, Paul F. & Galant, David C. 1015
12.05.1 8092.10,2.10.1,7.05,7.15 7972.10, 7.00 10177.10 302See: Dubuc, R., Lambert-Carez, G.,
Gratton, M., Roy, L. & Shapiro, A. 1025
See: Klerer, Melvin &
Grossman, Fred 301
See: Dejon, B. & Henrici, P.,
Editors 5888.00 10232.20,2.35 29312.05.1 1027
1041
1042 INDEX OF REVIEWS BY AUTHOR OF WORK REVIEWED
Review
Author Number Classification Page
Karst, Edgar 35 9.00 806
Klerer, Melvin & Grossman, Fred 13 7.105 301
Kochendörffer, Rudolf 56 10.05 1025
Krylov, V. I. & Pal'tsev, A. A. 18 2.10 588Kuhn, Harold W., 20 3.25 589
EditorKuntsevich, I. M., Olekhnovich, N. M. 26 7.10, 13.05 595
& Sheleg, A. U.
Lambert-Carez, G. 57 See: Dubuc, R., Lambert-Carez, G.,
Gratton, M., Roy, L. & Shapiro, A. 1025Lapidus, Leon & Seinfeld, John H. 22 4.00,4.05 592
Lee, Elvin J. & Madachy, Joseph S. 36 9.00 806
LemanskiI, A. A. 9 See: Bark, L. S., Dmitrieva,
N. I. Zakhar'ev, L. N. &
LemanskiI, A. A. 296Lin, Jung 30 See: Ling, Chih-Bing & Lin, Jung 801Ling, Chih-Bing & Lin, Jung 30 2.20, 2.40 801Luke, Yudell L. 10 7.00 297
Madachy, Joseph S. 36 See: Lee, Elvin J. & Madachy, Joseph S. 806
Mangasarian, O. L. 48 See: Rosen, J. B., Mangasarian, O. L.
& Ritter, K., Editors 1020
Meecham, William C 11 See: Miller, Kenneth L.,
Molmud, Paul &
Meecham, William C. 299
Meinardus, G. 17 See: Collatz, L., Meinardus, G.,
Unger, H. & Werner, H., Editors 585
Miller, J. C. P. 54 9.00 1024
Miller, Kenneth L., Molmud, Paul & 11 7.00 299
Meecham, William C.
Mitchell, A. R. 8 5.00 295
Molmud, Paul 11 See: Miller, Kenneth L.,
Molmud, Paul &
Meecham, William C. 299
Mosier, C. & Shillady, D. D. 50 7.00 1022
Mufti, I. H. 41 13.35 811
Olekhnovich, N. M. 26 See: Kuntsevich, I. M.,
Olekhnovich, N. M. & Sheleg, A. U. 595Ondrejka, Rudolf 37 9.00 807
Ossicini, A. 28 See: Ghizzetti, A. & Ossicini, A. 797
Pal'tsev, A. A. 18 See: Krylov, V. I. & Pal'tsev, A. A. 588
Paxson, G. Aaron 38 9.00 807
Perlis, A. J. 39 See: Galler, B. A. & Perlis, A. J. 809
Piessens, Robert 5 2.10,7.00 292
Piessens, Robert 44 2.10 1016
Piessens, Robert & Branders, Maria 51 7.00 1022
Polak, E. 29 2.20, 2.35, 3.25, 13.35 798
Potter, Elinor 12 See: Robinson, H. P. &. Potter, Elinor 300
Prabhu, Swarnalata 25 7.00 594
Pshenichnyi, B. N. 21 3.25 591
Ritter, K. 48 See: Rosen, J. B., Mangasarian, O. L.
& Ritter, K., Editors 1020Robinson, H. P. &. Potter, Elinor 12 7.00 300
INDEX OF REVIEWS BY AUTHOR OF WORK REVIEWED 1043
Review
Author Number
Rosen, J. B., Mangasarian, O. L. & 48
Ritter, K., Editors
Roy, L. 57
Seidel, Kenneth P. 60
Seinfeld, John H. 22
Shapiro, A. 57
Sheleg,A. U. 26
Shillady, D. D. 50
Shimura, Goro 52
Spivey, W. Allen & Thrall, Robert M. 49
Szökefalvi-Nagy, B. 4
Talbot, A., Editor 2
Thrall, Robert M. 49
Unger, H. 3
Unger, H. 17
Vladimirov, V. S. 23
Wada, Hideo 15
Weintraub, Sol 27
Werner, H. 17
Wool, Thomas C. 16
Yates, Samuel 55
Zakhar'ev, L. N. 9
Classification Page
3.25 1020
See: Dubuc, R., Lambert-Carez, G.,
Gratton, M., Roy, L. & Shapiro, A. 1025
12.05.1 1027See: Lapidus, Leon & Seinfeld, John H. 592
See: Dubuc, R., Lambert-Carez, G.,
Gratton, M., Roy, L. & Shapiro, A. 1025
See: Kuntsevich, L M.,
Olekhnovich, N. M. & Sheleg, A. U. 595
See: Mosier, C. & Shillady, D. D. 1022
7.00, 7.60 10223.25, 13.40 1021See: Butzer, P. L. &
Szökefalvi-Nagy, B., Editors 290
2.05 288See: Spivey, W. Allen &
Thrall, Robert M. 1021
See: Collatz, L. & Unger, H. 290
See: Collatz, L. Meinardus, G.,
Unger, H. & Werner, H., Editors 5855.00, 5.05, 5.10, 5.15, 5.20, 6.15 5939.00 3029.00 596See: Collatz, L., Meinardus, G.,
Unger, H. & Werner, H., Editors 585
See: Dawson, Clive B. &
Wool, Thomas C. 303
9.00 1024See: Bark, L. S., Dmitrieva, N. I.,
Zakhar'ev, L. N. & LemanskiI, A. A. 296
INDEX OF REVIEWS BY SUBJECT OF WORK REVIEWED
Author
2.00 Selected Topics in Numerical Analysis
Title
Acton, Forman S.
2.05 Approximation Theory
Butzer, P. L. & Szökefalvi-Nagy, B.,
Editors
Collatz, L. & Unger, H., Editors
Talbot, A., Editor
1 Numerical Methods that Work
4 Abstract Spaces and Approximation
3 Funktionalanalytische Methoden der
Numerischen Mathematik
2 Approximation Theory
2.05.2 Chebyshev (Best) Approximation
Collatz, L., Meinardus, G., 17 Iterationsverfahren, Numerische Mathe-
Unger, H. & Werner, H., Editors matik, Approximationstheorie
1044 INDEX OF REVIEWS BY SUBJECT OF WORK REVIEWED
2.05.3 Interpolation, Extrapolation
Collatz, L., Meinardus, G.,
Unger, H. & Werner, H., Editors
2.10 Numerical Integration
Acton, Forman S.
Boland, W. Robert
Byrd, Paul F. & Galant, David C.
Ghizzetti, A. & Ossicini, A.
Glonti, E. N.
Krylov, V. I. & Pal'tsev, A. A.
Piessens, Robert
Piessens, R.
2.10.1 One-Dimensional
Ghizzetti, A. & Ossicini, A.
2.20 Roots of Equations
Acton, Forman S.
Collatz, L., Meinardus, G.,
Unger, H. &. Werner, H., Editors
Dejon, B. & Henrici, P., Editors
Householder, A. S.
Ling, Chih-Bing & Lin, Jung
Polak, E.
17 Iterationsverfahren, Numerische Mathe-
matik, Approximationstheorie
1 Numerical Methods that Work
42 Coefficients for Product-Type Quadrature
Formulas
43 Gauss Quadrature Rules Involving Some
Nonclassical Weight Functions
28 Quadrature Formulae
45 Tables of the Roots and Quadrature Coeffi-
cients of Jacobi Polynomials
18 Tables for Numerical Integration of Func-
tions with Logarithmic and Power
Singularities5 Gaussian Quadrature Formulas for the
Numerical Integration of Bromwich's
Integral and the Inversion of the Laplace
Transform
44 Gaussian Quadrature Formulae for
Integrals Involving Bessel Functions
28 Quadrature Formulae
117
19
30
29
Numerical Methods that Work
Iterationsverfahren, Numerische Mathe-
matik, Approximationstheorie
Constructive Aspects of the Fundamental
Theorem of Algebra
KWIC Index for the Numerical Treatment
of Nonlinear Equations
Values of Coefficients in Problems of
Rotational Symmetry
Computational Methods in Optimization:
A Unified Approach
2.35 Iteration Methods, Acceleration Techniques
Acton, Forman S. 1
Collatz, L. & Unger, H., Editors, 3
Collatz, L., Meinardus, G., 17
Unger, H. & Werner, H., Editors
Daniel, James W. 46
Falb, Peter L. & De Jong, Jan L. 47
Householder, A. S. 6
Polak, E. 29
2.40 Differences, Divided Differences
Ling, Chih-Bing & Lin, Jung 30
Numerical Methods that Work
Funktionalanalytische Methoden der
Numerischen Mathematik
Iterationsverfahren, Numerische Mathe-
matik, Approximationstheorie
The Approximate Minimization of Func-
tional
Some Successive Approximation Methods
in Control and Oscillation Theory
KWIC Index for the Numerical Treatment
of Nonlinear Equations
Computational Methods in Optimization:
A Unified Approach
Values of Coefficients in Problems of
Rotational Symmetry
585
287
1015
1015797
1017
588
292
1016
797
287
585
588
293
801
798
287
290
585
1017
1019
293
798
801
INDEX OF REVIEWS BY SUBJECT OF WORK REVIEWED 1045
Author Title Page
2.55 Stability oj Computation, Significance Arithmetic
Collatz, L. & Unger, H., Editors
3.00 Linear Algebra
Butzer, P. L. & Szökefalvi-Nagy, B.,
Editors
Fenyö, Stefan
3.15 Eigenvalues and Eigenvectors
Acton, Forman S.
Collatz, L., Meinardus, G.,
Unger, H. & Werner, H., Editors
Funktionalanalytische Methoden der
Numerischen Mathematik
4 Abstract Spaces and Approximation
31 Moderne Mathematische Methoden in der
Technik
1 Numerical Methods that Work
17 Iterationsverfahren, Numerische Mathe-
matik, Approximationstheorie
290
290
801
287
585
3.20 Matrix Inversion and Pseudo Inverses
3.20.1 Error Analysis
Collatz, L., Meinardus, G.,
Unger, H. & Werner, H., Editors
17 Iterationsverfahren, Numerische Mathe-
matik, Approximationstheorie 585
3.25 Linear and Nonlinear Programming, Theory oj Games
20 Proceedings of the Princeton Symposium on
Mathematical Programming
29 Computational Methods in Optimization:
Kuhn, Harold W., Editor
Polak, E.
Pshenichnyi, B. N.
Rosen, J. B., Mangasarian, O. L. &
Ritter, K., Editors
Spivey, W. Allen & Thrall, Robert M.
4.00 Ordinary Differential Equations
Acton, Forman S.Butzer, P. L. & Szökefalvi-Nagy, B.,
EditorsCollatz, L., Meinardus, G.,
Unger, H. & Werner, H., Editors
Lapidus, Leon & Seinfeld, John H.
4.05 Initial Value Problems
Lapidus, Leon & Seinfeld, John H.
5.00 Partial Differential Equations
Butzer, P. L. & Szökefalvi-Nagy, B.,
Editors
Collatz, L., Meinardus, G.,
Unger, H. & Werner, H., Editors
Collatz, L. & Unger, H., Editors
A Unified Approach
21 Necessary Conditions for an Extremum
48 Nonlinear Programming
49 Linear Optimization
589
798591
1020
1021
EIdel'man, S. D.
Mitchell, A. R.
Vladimirov, V. S.
1 Numerical Methods that Work 2874 Abstract Spaces and Approximation 290
17 Iterationsverfahren, Numerische Mathe-
matik, Approximationstheorie 585
22 Numerical Solution of Ordinary Differential
Equations 592
22 Numerical Solution of Ordinary Differential
Equations 592
4 Abstract Spaces and Approximation 290
17 Iterationsverfahren, Numerische Mathe-
matik, Approximationstheorie 585
3 Funktionalanalytische Methoden der
Numerischen Mathematik 290
7 Parabolic Systems 294
8 Computational Methods in Partial Differen-
tial Equations 295
23 Equations of Mathematical Physics 593
1046 INDEX OF REVIEWS BY SUBJECT OF WORK REVIEWED
Author Title
5.05 Initial Value Problems
Vladimirov, V. S.
5.10 Boundary Value Problems
BlRKHOFF, garrett
Vladimirov, V. S.
5.10.1 Analytic Mehods
BlRKHOFF, garrett
23 Equations of Mathematical Physics
32 The Numerical Solution of Elliptic
Equations
23 Equations of Mathematical Physics
32 The Numerical Solution of Elliptic
Equations
5.10.2 Finite Difference Methods, Iterative Schemes
Birkhoff, Garrett 32 The Numerical Solution of Elliptic
5.10.3 Other Approximation Methods
Birkhoff, Garrett
5.15 Eigenvalue Problems
Vladimirov, V. S.
Equations
32 The Numerical Solution of Elliptic
Equations
23 Equations of Mathematical Physics
5.20 Mixed Initial and Boundary Value Problems
Vladimirov, V. S.
6.00 Other Functional Equations
Butzer, P. L. & Szökefalvi-Nagy, B.,
Editors
Collatz, L. & Unger, H., Editors
Daniel, James W.
6.15 Integral Equations
Anselone, Philip M.
Vladimirov, V. S.
6.30 Variational Equations
Collatz, L., Meinardus, G.,
Unger, H. & Werner, H., Editors
6.35 Abstract Operator Equations
Anselone, Philip M.
Collatz, L., Meinardus, G.,
Unger, H. & Werner, H., Editors
7.00 Special Functions
Bark, L. S., Dmitrieva, N. I.,
Zakhar'ev, L. N. & LemanskiI, A. A.
Fettis, Henry E. & Caslin, James C.
23 Equations of Mathematical Physics
Abstract Spaces and Approximation
3 Funktionalanalytische Methoden der
Numerischen Mathematik
46 The Approximate Minimization of
Functionals
33 Collectively Compact Operator Approxi-
mation Theory and Applications to
Integral Equations
23 Equations of Mathematical Physics
17 Iterationsverfahren, Numerische Mathe-
matik, Approximationstheorie
33 Collectively Compact Operator Approxi-
mation Theory and Applications to
Integral Equations
17 Iterationsfervahren, Numerische Mathe-
matik, Approximationstheorie
9 Tables of Characteristic Values of the
Mathieu Equation
24 Ten Place Tables of the Jacobian Elliptic
Functions: Part III
INDEX OF REVIEWS BY SUBJECT OF WORK REVIEWED 1047
Author Title Page
Glonti, E. N.
Luke, Yudell L.
Miller, Kenneth L., Molmud, Paul &
Meecham, William C.
45 Tables of the Roots and Quadrature Coeffi-
cients of Jacobi Polynomials
10 The Special Functions and their Approxi-
mations
11 Table of the Functions G(x + iv) =
Jo /(r - (x + iy))dt and F(x + iy)
= /- rtr'70 - (x + iy))dt50 A Fast, Accurate Approximation for F0(z)
Occurring in Gaussian Lobe Basis
Electronic Calculations
5 Gaussian Quadrature Formulas for the
Numerical Integration of Bromwich's
Integral and the Inversion of the Laplace
Transform
51 Chebyshev Polynomial Expansions of the
Riemann Zeta Function
25 Tables of the Incomplete Beta Function
for Small Values of the Parameters
12 Mathematical Constants
52 Introduction to the Arithmetic Theory of
Automorphic Functions
Mathematical Constants, Special Polynomials (Nonorthogonal) and Numbers:
Bernoulli, Euler, Stirling, Binomial Coefficients, Factorials
Ghizzetti, A. & Ossicini, A. 28 Quadrature Formulae
7.10 Elementary Functions, Powers and Roots
Gould, H. W. 14 Research Bibliography of Two Special
Number Sequences
26 Tables of Trigonometric Functions for the
Numerical Computation of Electron
Density in Crystals
7.15 Gamma Functions, Psi Functions, Zeta Functions and Related Functions
Ghizzetti, A. & Ossicini, A. 28 Quadrature Formulae
7.60 Elliptic Integrals and Functions, Weierstrass Elliptic Integrals, Related Functions
Mosier, C. & Shillady, D. D.
Piessens, Robert
Piessens, Robert & Branders, Maria
Prabhu, Swarnalata
Robinson, H. P. & Potter, Elinor
Shimura, Goro
7.05
Kuntsevich, I. M., Olekhnovich, N. M.
& Sheleg, A. U.
Byrd, P. F. & Friedman, M. D.
Shimura, Goro
34
52
Handbook of Elliptic Integrals for
Engineers and Scientists
Introduction to the Arithmetic Theory of
Automorphic Functions
7.65 Mathieu Functions
Bark, L. S., Dmitrieva, N. I.,
Zakhar'ev, L. N. & Lemanskii, A. A
9 Tables of Characteristic Values of the
Mathieu Equation
7.105 Handbooks of Mathematical Tables and Formulae
Klerer, Melvin & Grossman, Fred 13
8.00 Probability and Statistics
Hill, G. W. 53
9.00 Number Theory
Karst, Edgar 35
A New Table of Computer Processed,
Indefinite Integrals
Reference Table: "Student's''
Quantiles to 20Dr-Distribution
The Second 2500 Reciprocals and their
Partial Sums of all Twin Primes (p,
p + 2) between (102911, 102913) and
(239387, 239389)
1017
297
299
1022
292
1022
594300
1022
797
302
595
797
804
1022
296
301
1023
806
1048 INDEX OF REVIEWS BY SUBJECT OF WORK REVIEWED
Author
Lee, Elvin J. & Madachy, Joseph S.
Miller, J. C. P.
Ondrejka, Rudolf
Paxson, G. Aaron
Wada, Hideo
Weintraub, Sol
Yates, Samuel
Title
36 The History and Discovery of Amicable
Numbers—Part I
54 Primitive Root Counts
37 Mersenne Primes and Perfect Numbers
38 Table of Aliquot Sequences
15 A Table of Fundamental Units of Purely
Cubic Fields27 Distribution of Primes between 10" and
1014 + 10s
55 Partial List of Primes with Decimal Periods
Less than 3000
10.00 Algebra and Combinatorial Theory
10.05 Groups, Rings, Fields, Algebras
Kochendörffer, Rudolf 56
12.00
Group Theory
Computers and Other Aids to Computation
Dubuc, R., Lambert-Carez, G.,
Gratton, M., Roy, L. & Shapiro, A.
Fry, T. F.
12.05 Digital Computers
57 Dictionnaire Anglais-Francais, Francais-
Anglais de l'lnformalique
58 Computer Appreciation
Page
8061024807807
302
596
1024
1025
10251026
12.05.1 Coding, Programming and Software
16
395960
From Bits to If's An Introduction to
Computers and Fortran IV
A View of Programming Languages
Computers and Problem Solving
Cobol
Computers in Undergraduate Science
Education
303809
10271027
810
Dawson, Clive B. & Wool, Thomas C.
Galler, B. A. & Perlis, A. J.
Hull, T. E. & Day, D. D. F.Seidel, Kenneth P.
12.05.3 Computer Aided Instruction
Blum, Ronald, Editor 40
13.00 Applications
13.05 Physical and Chemical Sciences
13.05 Weights and Measures Tables
Kuntsevich, I. M., Olekhnovich, N. M. 26 Tables of Trigonometric Functions for the
& Sheleg, A. U. Numerical Computation of Electron
Density in Crystals 595
13.35 Information Theory, Automata, Logic, Control Theory, Dynamic
Programming, Cybernetics
46 The Approximate Minimization of
Functionals 1017
Daniel, James W.
Falb, Peter L. & De Jong, Jan L.
Mufti, I. H.
Polak, E.
47 Some Successive Approximation Methods in
Control and Oscillation Theory 1019
41 Computational Methods in Optimal
Control Problems 811
29 Computational Methods in Optimization:
A Unified Approach 798
13.40 Management Problems, Data Analysis and Processing
Spivey, W. Allen & Thrall, Robert M. 49 Linear Optimization 1021
INDEX OF TABLE ERRATA 1049
INDEX OF TABLE ERRATA
No. Author Title Page
498 Abramowitz, Milton & Handbook of Mathematical Functions with
Stegun, Irene A., Editors Formulas, Graphs, and Mathematical Tables.. 1029
488 Byrd, P. F. & Friedman, M. D. Handbook of Elliptic Integrals for Engineers and
Physicists. 597489 Collatz, L. The Numerical Treatment of Differential Equa-
tions . 597495 Davis, Harold T. Tables of the Higher Mathematical Functions .. 813
490 Erdelyi, A. Magnus, W., Higher Transcendental Functions. 598
Oberhettinger, F. &
Tricomi F. G.491 Erdelyi, A. Magnus, W., Tables of Integral Transforms, Vols. I and II ... 599
Oberhettinger, F. &
Tricomi F. G.496 Fried, Burton D. & The Plasma Dispersion Function: The Hilbert
Conte, Samuel D. Transform of the Gaussian . 814
486 Gradshteyn, I. S. &. Ryzhik, I. M. Table of Integrals, Series, and Products. 305
492 Gradshteyn, I. S. & Ryzhik, I. M. Table of Integrals, Series, and Products. 599
493 Henderson, F. M. Elliptic Functions with Complex Arguments.... 599
499 Jarden, Dov Recurring Sequences, 2nd ed. 1029
497 Poulet, P. "Table des nombres composes verifiant le
theoreme de Fermat pour le module 2 jusqu'ä
100.000.000.". 814487 Robinson, H. P. & Potter, Elinor Mathematical Constants. 305
494 Shao, T. S., Chen, T. C. & "Tables of zeros and Gaussian weights of
Frank, R. M. certain associated Laguerre polynomials and
the related generalized Hermite polynomials" 813
INDEX OF CORRIGENDA
Author
Abramowitz, Milton &
Stegun, Irene A., Editors
Cody, W. J. & Hillstrom, K. E.
Gradshteyn, I. S. & Ryzhik, I. M.
Lavoie, J. L. & Michaud, R.
Luke, Yudell L.
Stenger, Frank
Title Page
Wimp, Jet
Handbook of Mathematical Functions with
Formulas, Graphs and Mathematical Tables 309
"Chebyshev approximations for the Coulomb
phase shift" 1031Table of Integrals, Series, and Products, 4th ed. 601
"Explicit expressions for the determinants
of certain matrices" 309
"Miniaturized Tables of Bessel Microfiche card,
Functions. II", Math. Comp., October issue
v. 25, 1971, pp. 789-795 and the ac-companying microfiche.
Tabulation of Certain Fully Symmetric Numerical
Integration Formulas of Degree 7, 9 and 11,
review #37, Math. Comp., v. 25, p. 935 815
"Polynomial expansions of Bessel functions and
some associated functions" 309
INDEX OF MICROFICHE SUPPLEMENTS
Author Title MOC Issue
Cheema, M. S. & Conway, W. E. Tables of Partition Numbers October
Hayes, J. K., Kahaner, D. K. & An Improved Method for Numerical
Kellner, R. G. Conformal Mapping April
1050 INDEX OF MICROFICHE SUPPLEMENTS
Author Title Page
Luke, Yudeix L.
Luke, Yudell L.
Piessens, Robert
Piessens, Robert & Branders, Maria
Strecok, A. J. & Gregory, J. A.
Wall, Charles R.
Tables for the Coefficients in the Expansion
of y„(z) and A^v). January
"Miniaturized Tables of Bessel Func-
tions. II" October
Gaussian Quadrature Formulae for Integrals
Involving Bessel Functions October
Chebyshev Polynomial Expansions of the
Riemann Zeta Function October
"Tables for Approximating Irregular
Coulomb Functions: G0(ij, p) and G0'(i?, p)" October
Table of Density Bounds for Euler's
Function July
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U. I. POSTAL M R VIC I
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< KNOWN BONDHOLDERS. MORTGAGEES. AND OTHER SECUKiTY HOLDERS OWNING OR HOLDING 1 PERCENT OR MORE OF
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